Archives
Keywords
Lipschitz reduction Sakurai's Bell inequality Slim tree Singular cofinality Erdos-Hajnal graphs Singular Density higher Baire space OCA weak Kurepa tree middle diamond Subnormal ideal Strongly compact cardinal O-space Cardinal Invariants SNR Erdos Cardinal Prikry-type forcing Large Cardinals Small forcing Distributive tree HOD Coherent tree Parameterized proxy principle Constructible Universe Knaster perfectly normal unbounded function PFA(S)[S] stationary reflection Almost-disjoint family Filter reflection Local Club Condensation. Club Guessing Open Access Chang's conjecture Ramsey theory over partitions Strongly Luzin set Diamond for trees nonmeager set Subtle cardinal very good scale Sierpinski's onto mapping principle free Souslin tree Intersection model Precaliber transformations Forcing b-scale Minimal Walks Respecting tree Forcing with side conditions square Rock n' Roll Square-Brackets Partition Relations Strong coloring Fodor-type reflection Ascending path L-space Hereditarily Lindelöf space Generalized Clubs free Boolean algebra Hindman's Theorem Martin's Axiom Souslin Tree tensor product graph xbox Partition relations for trees Chromatic number coloring number Ulam matrix Jonsson cardinal ZFC construction Non-saturation Diamond Knaster and friends strongly bounded groups Nonspecial tree Axiom R PFA GMA ccc sap Subadditive Was Ulam right? Reduced Power Closed coloring Prevalent singular cardinals Absoluteness super-Souslin tree Reflecting stationary set Amenable C-sequence Fat stationary set approachability ideal projective Boolean algebra Ascent Path full tree specializable Souslin tree Diamond-sharp club_AD Poset regressive Souslin tree Postprocessing function Rado's conjecture Almost Souslin Interval topology on trees Ineffable cardinal 54G20 Whitehead Problem incompactness Sigma-Prikry AIM forcing Successor of Regular Cardinal Partition Relations Generalized descriptive set theory Foundations Luzin set Commutative cancellative semigroups Countryman line C-sequence S-Space diamond star Cardinal function weak diamond Kurepa Hypothesis Commutative projection system Forcing Axioms Successor of Singular Cardinal Uniformly coherent Greatly Mahlo Vanishing levels Well-behaved magma Dushnik-Miller Iterated forcing Monotonically far polarized partition relation Aronszajn tree Almost countably chromatic Uniformly homogeneous Selective Ultrafilter stick Dowker space Entangled linear order countably metacompact Singular cardinals combinatorics square principles Weakly compact cardinal Microscopic Approach Analytic sets stationary hitting Cohen real Ostaszewski square Rainbow sets Universal Sequences Mandelbrot set Fast club Hedetniemi's conjecture Shelah's Strong Hypothesis reflection principles weak square Subtle tree property P-Ideal Dichotomy Uniformization positive partition relation indecomposable filter Antichain
Tag Archives: Singular Density
On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The conjecture is consistent and known … Continue reading
